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Finding the Fourth Proportional to 8,627.60, 12,934.34 and 3,077.80

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Solution

The fourth proportional to 8,627.60, 12,934.34 and 3,077.80 is: 4,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,627.60 : 12,934.34 = 3,077.80 : x
  2. Step 2: Convert to fraction form
    8,627.60/12,934.34 = 3,077.80/x
  3. Step 3: Cross multiply
    8,627.60x = 12,934.34 × 3,077.80
  4. Step 4: Simplify right side
    8,627.60x = 39,809,311.65
  5. Step 5: Solve for x
    x = 39,809,311.65/8,627.60
  6. Step 6: Final answer
    x = 4,614.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.